Evolution dynamics of conformal maps with quasiconformal extensions

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dc.creatorVasil'ev, Alexander
dc.date2004-10-08
dc.date.accessioned2026-07-07T06:32:10Z
dc.date.available2026-07-07T06:32:10Z
dc.descriptionWe study one-parameter curves on the universal Teichmüller space $T$ and on the homogeneous space $M=\Diff S^1/\Rot S^1$ embedded into $T$. As a result, we deduce evolution equations for conformal maps that admit quasiconformal extensions and, in particular, such that the associated quasidisks are bounded by smooth Jordan curves. Some applications to Hele-Shaw flows of viscous fluids are given.
dc.description32 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0410229
dc.identifierhttp://arxiv.org/abs/math/0410229
dc.identifierBull. Sci. Math. 129 (2005), no. 10, 831-859
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98819
dc.subjectAnalysis of PDEs
dc.subjectComplex Variables
dc.subject30C35, 22E65, 30C62, 30F60, 76D27
dc.titleEvolution dynamics of conformal maps with quasiconformal extensions
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